Semi-major axis equation question

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The discussion revolves around rearranging an equation to solve for the semi-major axis "a." The initial participant expresses difficulty with mathematics and seeks assistance. Suggestions include squaring both sides of the equation and correcting errors in notation, particularly regarding the square of 2π. As the conversation progresses, the participant gains confidence and understanding of algebraic manipulation. The exchange concludes with encouragement to continue reviewing algebra concepts for better proficiency.
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Homework Statement



Hi there, this isn't a homework question but I need some help with this equation since I'm not the best at mathematics. I would like to rearrange this equation so I can solve for "a"

Homework Equations



9k6xk0.gif


The Attempt at a Solution



?
 
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eXmag said:

Homework Statement



Hi there, this isn't a homework question but I need some help with this equation since I'm not the best at mathematics. I would like to rearrange this equation so I can solve for "a"

Homework Equations



9k6xk0.gif


The Attempt at a Solution



?

Well, start by squaring both sides. That will get rid of the square root. How bad at mathematics are you?
 
Im really bad at it!
 
eXmag said:
Im really bad at it!

Good to know. What happens if you try squaring both sides? Do your worst.
 
so you're saying

f9nsit.gif
 
eXmag said:
so you're saying

f9nsit.gif

That's pretty bad. You forgot to square the ##2 \pi##. And if you square a square root then you eliminate the square root. ##(\sqrt{x})^2=x##. Try and fix it up a little.
 
Ok then, another attempt.

2w4cwf8.gif
 
eXmag said:
Ok then, another attempt.

2w4cwf8.gif

Closer. Just write ##(2 \pi)^2## instead of ##2 \pi^2##. They mean different things don't they? I hope you know that much? The next step is to move everything except for ##a^3## to the left side of the equation. Know ANY algebra?
 
Well considering I haven't taken a math course since high school which was about 8 years ago so I'm a little rusty as you can tell. But it's starting to come back to me somewhat. So should this be the final solution then?

2lsblw4.jpg


edit it should be (2pi)squared like u said
 
  • #10
eXmag said:
Well considering I haven't taken a math course since high school which was about 8 years ago so I'm a little rusty as you can tell. But it's starting to come back to me somewhat. So should this be the final solution then?

2lsblw4.jpg


edit it should be (2pi)squared like u said

Yes, that's right. Glad you got it if you write (2pi)^2. I didn't think you were going to make it for a while. Keep reviewing the algebra. It's not that hard and you need to know it.
 
  • #11
OK, thanks for you're help!
 
  • #12
eXmag said:
OK, thanks for you're help!

You're welcome. Um, it's 'your help' not 'you're help' if you want to do grammar too. :)
 

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